Finding the Third Proportional to 379.69 and 575.86

Step by Step Solution

1. Step 1: Write the proportion equation
   379.69 : 575.86 = 575.86 : x
2. Step 2: Convert to fraction form
   379.69/575.86 = 575.86/x
3. Step 3: Cross multiply
   379.69x = 575.86 × 575.86
4. Step 4: Simplify right side
   379.69x = 331,614.02
5. Step 5: Solve for x
   x = 331,614.02/379.69
6. Step 6: Final answer
   x = 873.39